AD8307-EB [ADI]

Low Cost DC-500 MHz, 92 dB Logarithmic Amplifier; 低成本DC - 500 MHz的92分贝对数放大器
AD8307-EB
型号: AD8307-EB
厂家: ADI    ADI
描述:

Low Cost DC-500 MHz, 92 dB Logarithmic Amplifier
低成本DC - 500 MHz的92分贝对数放大器

放大器
文件: 总20页 (文件大小:397K)
中文:  中文翻译
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Low Cost DC-500 MHz, 92 dB  
Logarithmic Amplifier  
a
AD8307  
FEATURES  
FUNCTIO NAL BLO CK D IAGRAM  
Com plete Multistage Logarithm ic Am plifier  
92 dB Dynam ic Range: –75 dBm to +17 dBm  
to 90 dBm Using Matching Netw ork  
Single Supply of 2.7 V Min at 7.5 m A Typical  
DC-500 MHz Operation, ؎1 dB Linearity  
Slope of 25 m V/ dB, Intercept of 84 dBm  
Highly Stable Scaling Over Tem perature  
Fully Differential DC-Coupled Signal Path  
100 ns Pow er-Up Tim e, 150 A Sleep Current  
AD8307  
BANDGAP REFERENCE  
AND BIASING  
VPS  
ENB  
INT  
SUPPLY  
7.5mA  
ENABLE  
INT. ADJ  
SIX 14.3dB 900MHz  
AMPLIFIER STAGES  
INP  
1.15k⍀  
+INPUT  
–INPUT  
MIRROR  
INM  
2A  
/dB  
3
OUT  
OUTPUT  
2
NINE DETECTOR CELLS  
SPACED 14.3dB  
12.5k⍀  
APPLICATIONS  
COMMON  
COM  
COM  
Conversion of Signal Level to Decibel Form  
Transm itter Antenna Pow er Measurem ent  
Receiver Signal Strength Indication (RSSI)  
Low Cost Radar and Sonar Signal Processing  
Netw ork and Spectrum Analyzers (to 120 dB)  
Signal Level Determ ination Dow n to 20 Hz  
True Decibel AC Mode for Multim eters  
OFS  
INPUT-OFFSET  
COMPENSATION LOOP  
OFS. ADJ.  
T he output is a voltage scaled 25 mV/dB, generated by a current  
of nominally 2 µA/dB through an internal 12.5 kresistor. T his  
voltage varies from 0.25 V at an input of –74 dBm (that is, the  
ac intercept is at –84 dBm, a 20 µV rms sine input), up to 2.5 V  
for an input of +16 dBm. This slope and intercept can be trimmed  
using external adjustments. Using a 2.7 V supply, the output  
scaling may be lowered, for example to 15 mV/dB, to permit  
utilization of the full dynamic range.  
P RO D UCT D ESCRIP TIO N  
The AD8307 is the first logarithmic amplifier in an 8-lead (SO-8)  
package. It is a complete 500 MHz monolithic demodulating  
logarithmic amplifier based on the progressive compression  
(successive detection) technique, providing a dynamic range of  
92 dB to ±3 dB law-conformance and 88 dB to a tight ±1 dB  
error bound at all frequencies up to 100 MHz. It is extremely  
stable and easy to use, requiring no significant external compo-  
nents. A single supply voltage of 2.7 V to 5.5 V at 7.5 mA is  
needed, corresponding to an unprecedented power consumption  
of only 22.5 mW at 3 V. A fast-acting CMOS-compatible con-  
trol pin can disable the AD8307 to a standby current of under  
150 µA.  
T he AD8307 exhibits excellent supply insensitivity and tem-  
perature stability of the scaling parameters. T he unique combi-  
nation of low cost, small size, low power consumption, high  
accuracy and stability, very high dynamic range, and a frequency  
range encompassing audio through IF to UHF, make this prod-  
uct useful in numerous applications requiring the reduction of a  
signal to its decibel equivalent.  
Each of the cascaded amplifier/limiter cells has a small-signal  
gain of 14.3 dB, with a –3 dB bandwidth of 900 MHz. T he  
input is fully differential and at a moderately high impedance  
(1.1 kin parallel with about 1.4 pF). T he AD8307 provides a  
basic dynamic range extending from approximately –75 dBm  
(where dBm refers to a 50 source, that is, a sine amplitude of  
about ±56 µV) up to +17 dBm (a sine amplitude of ±2.2 V).  
A simple input-matching network can lower this range to –88 dBm  
to +3 dBm. T he logarithmic linearity is typically within ±0.3 dB  
up to 100 MHz over the central portion of this range, and is  
degraded only slightly at 500 MHz. T here is no minimum  
frequency limit; the AD8307 may be used at audio frequencies  
(20 Hz) or even lower.  
T he AD8307 is available in the industrial temperature range of  
–40°C to +85°C, and in 8-lead SOIC and PDIP packages.  
REV. A  
Inform ation furnished by Analog Devices is believed to be accurate and  
reliable. However, no responsibility is assum ed by Analog Devices for its  
use, nor for any infringem ents of patents or other rights of third parties  
which m ay result from its use. No license is granted by im plication or  
otherwise under any patent or patent rights of Analog Devices.  
One Technology Way, P.O. Box 9106, Norw ood, MA 02062-9106, U.S.A.  
Tel: 781/ 329-4700  
Fax: 781/ 326-8703  
World Wide Web Site: http:/ / w w w .analog.com  
© Analog Devices, Inc., 1999  
(V = +5 V, T = 25؇C, R 1 M, unless otherwise noted)  
AD8307–SPECIFICATIONS  
S
A
L
P aram eter  
Conditions  
Min  
Typ  
Max  
Units  
GENERAL CHARACT ERIST ICS  
Input Range (±1 dB Error)  
Logarithmic Conformance  
Expressed in dBm re 50 Ω  
f 100 MHz, Central 80 dB  
f = 500 MHz, Central 75 dB  
Unadjusted1  
–72  
16  
±1  
dBm  
dB  
dB  
mV/dB  
mV/dB  
µV  
±0.3  
±0.5  
25  
Logarithmic Slope  
vs. T emperature  
Logarithmic Intercept  
23  
23  
27  
27  
Sine Amplitude; Unadjusted2  
20  
Equivalent Sine Power in 50 Ω  
–87  
–88  
–84  
–77  
–76  
dBm  
dBm  
nV/Hz  
dBm  
kΩ  
vs. T emperature  
Input Noise Spectral Density  
Operating Noise Floor  
Output Resistance  
Inputs Shorted  
RSOURCE = 50 /2  
Pin 4 to Ground  
1.5  
–78  
12.5  
3.5  
10  
15  
Internal Load Capacitance  
Response T ime  
pF  
Small Signal, 10%-90%,  
0 mV–100 mV, CL = 2 pF  
Large Signal, 10%-90%,  
0 V–2.4 V, CL = 2 pF  
400  
ns  
500  
ns  
Upper Usable Frequency3  
Lower Usable Frequency  
500  
10  
MHz  
Hz  
Input AC-Coupled  
–3 dB  
AMPLIFIER CELL CHARACT ERIST ICS  
Cell Bandwidth  
Cell Gain  
900  
14.3  
MHz  
dB  
INPUT CHARACT ERIST ICS  
DC Common-Mode Voltage  
Common-Mode Range  
Inputs AC-Coupled  
Either Input (Small Signal)  
RSOURCE 50 Ω  
Drift  
Differential  
Either Pin to Ground  
Either Input  
3.2  
1.6  
50  
0.8  
1.1  
1.4  
10  
V
V
µV  
µV/°C  
kΩ  
pF  
–0.3  
VS – 1  
500  
DC Input Offset Voltage4  
Incremental Input Resistance  
Input Capacitance  
Bias Current  
25  
µA  
POWER INT ERFACES  
Supply Voltage  
Supply Current  
Disabled  
2.7  
5.5  
10  
750  
V
mA  
µA  
VENB 2 V  
VENB 1 V  
8
150  
NOT ES  
1T his may be adjusted downward by adding a shunt resistor from the Output to Ground. A 50 k resistor will reduce the nominal slope to 20 mV/dB.  
2T his may be adjusted in either direction by a voltage applied to Pin 5, with a scale factor of 8 dB/V.  
3See Application on 900 MHz operation.  
4Normally nulled automatically by internal offset correction loop. May be manually nulled by a voltage applied between Pin 3 and Ground; see APPLICAT IONS.  
Specifications subject to change without notice.  
–2–  
REV. A  
AD8307  
*Stresses above those listed under Absolute Maximum Ratings may cause perma-  
nent damage to the device. T his is a stress rating only; functional operation of the  
device at these or any other conditions above those indicated in the operational  
section of this specification is not implied. Exposure to absolute maximum rating  
conditions for extended periods may effect device reliability.  
ABSO LUTE MAXIMUM RATINGS*  
Supply Voltage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . +7.5 V  
Input Voltage (Pins 1, 8) . . . . . . . . . . . . . . . . . . . . . . VSUPPLY  
Storage T emperature Range, N, R . . . . . . . . –65°C to +125°C  
Ambient T emperature Range, Rated Performance Industrial,  
AD8307AN, AD8307AR . . . . . . . . . . . . . –40°C to +85°C  
Lead T emperature Range (Soldering 10 sec) . . . . . . . +300°C  
O RD ERING GUID E  
Model  
Tem perature Range  
P ackage D escriptions  
P ackage O ptions  
AD8307AR  
AD8307AN  
AD8307AR-REEL  
AD8307AR-REEL7  
AD8307-EB  
–40°C to +85°C  
–40°C to +85°C  
SOIC  
SO-8  
N-8  
Plastic DIP  
13" REEL  
7" REEL  
Evaluation Board  
CAUTIO N  
ESD (electrostatic discharge) sensitive device. Electrostatic charges as high as 4000 V readily  
accumulate on the human body and test equipment and can discharge without detection. Although  
the AD8307 features proprietary ESD protection circuitry, permanent damage may occur on  
devices subjected to high energy electrostatic discharges. T herefore, proper ESD precautions are  
recommended to avoid performance degradation or loss of functionality.  
WARNING!  
ESD SENSITIVE DEVICE  
P IN CO NFIGURATIO N  
P IN FUNCTIO N D ESCRIP TIO NS  
Nam e Function  
P in  
1
2
3
4
8
7
6
5
INP  
INM  
COM  
OFS  
1
INM  
Signal Input, Minus Polarity; Normally at  
POS/2.  
AD8307  
TOP VIEW  
(Not to Scale)  
VPS  
ENB  
INT  
V
2
3
COM  
OFS  
Common Pin (Usually Grounded).  
Offset Adjustment; External Capacitor  
Connection.  
OUT  
4
OUT  
Logarithmic (RSSI) Output Voltage; ROUT  
12.5 k.  
=
5
6
INT  
ENB  
Intercept Adjustment; ±6 dB (See T ext).  
CMOS-compatible Chip Enable; Active when  
“HI.”  
7
8
VPS  
INP  
Positive Supply, 2.7 V–5.5 V.  
Signal Input, Plus Polarity; Normally at VPOS  
/
2. Note: Due to the symmetrical nature of the  
response, there is no special significance to the  
sign of the two input pins. DC resistance from  
INP to INM = 1.1 k.  
REV. A  
–3–  
AD8307Typical Performance Characteristics  
3
2
8
7
6
5
4
3
2
1
0
1
TEMPERATURE ERROR @ +85؇C  
TEMPERATURE ERROR @ +25؇C  
0
–1  
–2  
–3  
TEMPERATURE ERROR @ –40؇C  
–80  
–60  
–40  
–20  
0
20  
1.0  
1.2  
1.7  
1.8  
2.0  
1.1  
1.3  
1.4  
V
1.5  
1.6  
1.9  
INPUT LEVEL – dBm  
– Volts  
ENB  
Figure 1. Supply Current vs. VENB Voltage (5 V)  
Figure 4. Log Conform ance vs. Input Level (dBm ) at 25 °C,  
85°C, –40°C  
3
8
7
6
5
4
3
2
1
0
INPUT FREQUENCY 10MHz  
2
INPUT FREQUENCY 100MHz  
1
0
INPUT FREQUENCY 300MHz  
INPUT FREQUENCY 500MHz  
1.2  
1.3  
1.5  
1.6  
1.7  
1.8  
1.9  
–80  
–60  
–40  
–20  
0
20  
1.0  
1.1  
1.4  
V
2.0  
– Volts  
INPUT LEVEL – dBm  
ENB  
Figure 2. Supply Current vs. VENB Voltage (3 V)  
Figure 5. VOUT vs. Input Level (dBm ) at Various Frequencies  
3
2
1.5  
1.0  
1
0.5  
FREQUENCY INPUT = 300MHz  
CFO VALUE = 0.01F  
0
0
CFO VALUE = 1F  
–1  
–0.5  
CFO VALUE = 0.1F  
FREQUENCY INPUT = 100MHz  
–2  
–1.0  
–3  
–80  
– 1.5  
–60  
–40  
–20  
0
20  
– 80  
– 60  
– 40  
– 20  
0
20  
INPUT LEVEL – dBm  
INPUT LEVEL – dBm  
Figure 3. Log Conform ance vs. Input Level (dBm ) @  
100 MHz, 300 MHz  
Figure 6. Log Conform ance vs. CFO Values at 1 kHz Input  
Frequency  
REV. A  
–4–  
AD8307  
3
2
3.0  
2.5  
2.0  
1.5  
1.0  
0.5  
0
INT P = 3.0V  
IN  
10MHz, INT = –96.52dBm  
100MHz  
1
INT P = 4.0V  
10MHz, INT = –87.71dBm  
IN  
+ INPUT  
0
–1  
–2  
–3  
NO CONNECT ON INT  
10MHz, INT = –82.90dBm  
– INPUT  
–80  
–60  
–40  
–20  
0
20  
–80 –70 –60 –50 –40 –30 –20 –10  
0
10  
20  
INPUT LEVEL – dBm  
INPUT LEVEL – dBm  
Figure 7. VOUT vs. Input Level at 5 V Supply; Showing  
Intercept Adjustm ent  
Figure 10. Log Conform ance vs. Input Level at 100 MHz;  
Showing Response to Alternative Inputs  
3
3.0  
INT VOLTAGE  
INT = 1.0V, INT = –86dBm  
2.5  
2
500MHz  
2.0  
1
0
INT VOLTAGE  
INT NO CONNECT, INT = –71dBm  
1.5  
1.0  
–1  
100MHz  
0.5  
–2  
–3  
INT VOLTAGE  
INT = 2.0V, INT = –78dBm  
0
–80  
–90  
–70  
–50  
–30  
–10  
10  
–70 –60  
–50 –40  
–30 –20  
–10  
0
10  
INPUT LEVEL – dBm  
INPUT LEVEL – dBm  
Figure 8. VOUT vs. Input Level at 3 V Supply Using AD820  
as Buffer, Gain = +2; Showing Intercept Adjustm ent  
Figure 11. Log Conform ance vs. Input at 100 MHz, 500 MHz;  
Input Driven Differentially Using Transform er  
3
2.5  
2.0  
2
500MHz  
1
1.5  
100MHz @ –40؇C  
0
100MHz  
1.0  
0.5  
0
100MHz @ +25؇C  
–1  
10MHz  
–2  
–3  
100MHz @ +85؇C  
–70  
–60  
–50  
–40  
–30  
–20  
–10  
0
10  
20  
–80  
–60  
–40  
–20  
0
20  
INPUT LEVEL – dBm  
INPUT LEVEL – dBm  
Figure 9. VOUT vs. Input Level at Three Tem peratures  
(–40°C, +25°C, +85°C)  
Figure 12. Log Conform ance vs. Input Level at 3 V Supply  
Using AD820 as Buffer, Gain = +2  
REV. A  
–5–  
AD8307  
2V  
V
CH 1  
OUT  
Ch1 500mV  
Ch1 200mV  
V
OUT  
CH 1  
CH 1 GND  
V
ENB  
INPUT SIGNAL  
CH 2  
CH 2  
CH 2 GND  
GND  
Ch2 1.00V  
200ns  
Ch2 2.00V  
500ns  
Figure 16. VOUT Rise Tim e  
Figure 13. Power-Up Response Tim e  
Ch1 500mV  
Ch1 200mV  
V
CH 1  
OUT  
2.5V  
INPUT SIGNAL  
CH 2  
CH 2 GND  
V
ENB  
CH 2  
V
OUT  
CH 1  
CH 1 GND  
GND  
Ch2 1.00V  
200ns  
Ch2 2.00V  
500ns  
Figure 17. Large Signal Response Tim e  
Figure 14. Power-Down Response Tim e  
HP8648B  
EXT TRIG  
OUT  
10MHz REF CLK  
PULSE MODE IN  
TRIG  
OUT  
SIGNAL  
GENERATOR  
PULSE  
MODULATION  
MODE  
HP8112A  
PULSE  
GENERATOR  
VPS = +5.0V  
HP8648B  
SIGNAL  
HP8112A  
PULSE  
SYNCH OUT  
0.1F  
VPS = +5.0V  
0.1F  
GENERATOR  
GENERATOR  
1nF  
RF OUT  
OUT  
RF OUT  
1nF  
NC  
NC  
INP VPS ENB INT  
AD8307  
52.3⍀  
INP VSP ENB INT  
AD8307  
52.3⍀  
INM COM OFS OUT  
INM COM OFS OUT  
TEK744A  
SCOPE  
NC  
TRIG  
TEK744A  
SCOPE  
TEK P6139A  
10x PROBE  
NC  
1nF  
TEK P6204  
FET PROBE  
TRIG  
1nF  
NC = NO CONNECT  
NC = NO CONNECT  
Figure 18. Test Setup For VOUT Pulse Response  
Figure 15. Test Setup For Power-Up/Power-Down  
Response Tim e  
REV. A  
–6–  
AD8307  
LO G AMP TH EO RY  
continue indefinitely in both directions. T he dotted line shows  
that the effect of adding an offset voltage VSHIFT to the output is  
to lower the effective intercept voltage VX. Exactly the same  
alteration could be achieved raising the gain (or signal level)  
ahead of the log amp by the factor VSHIFT /VY. For example, if  
VY is 500 mV per decade (that is, 25 mV/dB, as for the AD8307),  
an offset of +150 mV added to the output will appear to lower  
the intercept by two tenths of a decade, or 6 dB. Adding an  
offset to the output is thus indistinguishable from applying an  
input level that is 6 dB higher.  
Logarithmic amplifiers perform a more complex operation than  
that of classical linear amplifiers, and their circuitry is signifi-  
cantly different. A good grasp of what log amps do, and how  
they do it, will avoid many pitfalls in their application. T he  
essential purpose of a log amp is not to amplify, though amplifi-  
cation is utilized to achieve the function. Rather, it is to com-  
press a signal of wide dynamic range to its decibel equivalent. It  
is thus a measurement device. A better term might be logarith-  
mic converter, since its basic function is the conversion of a  
signal from one domain of representation to another, via a precise  
nonlinear transformation.  
T he log amp function described by Equation 1 differs from that  
of a linear amplifier in that the incremental gain VOUT /VIN is a  
very strong function of the instantaneous value of VIN, as is  
apparent by calculating the derivative. For the case where the  
logarithmic base is e, we have:  
Logarithmic compression leads to situations that may be con-  
fusing or paradoxical. For example, a voltage offset added to  
the output of a log amp is equivalent to a gain increase ahead of  
its input. In the usual case where all the variables are voltages,  
and regardless of the particular structure, the relationship between  
the variables can be expressed as:  
V  
VY  
OUT  
=
(2)  
VIN  
VIN  
VOUT = VY log (VIN /VX)  
where:  
VOUT is the output voltage,  
(1)  
T hat is, the incremental gain is inversely proportional to the  
instantaneous value of the input voltage. T his remains true for  
any logarithmic base, which is chosen as 10 for all decibel-  
related purposes. It follows that a perfect log amp would be  
required to have infinite gain under classical small-signal (zero-  
amplitude) conditions. Less ideally, this result indicates that,  
whatever means are used to implement a log amp, accurate  
response under small-signal conditions (that is, at the lower end  
of the dynamic range) demands the provision of a very high  
gain-bandwidth product. A further consequence of this high  
gain is that, in the absence of an input signal, even very small  
amounts of thermal noise at the input of a log amp will cause a  
finite output for zero input, resulting in the response line curving  
away from the ideal shown in Figure 19 toward a finite baseline,  
which can be either above or below the intercept. Note that the  
value given for this intercept may be an extrapolated value, in  
which case the output may not cross zero, or even reach it, as is  
the case for the AD8307.  
VY is called the slope voltage; the logarithm is usually taken  
to base-ten (in which case VY is also the volts-per-decade),  
VIN is the input voltage,  
and  
VX is called the intercept voltage.  
All log amps implicitly require two references, here VX and VY,  
which determine the scaling of the circuit. T he absolute accu-  
racy of a log amp cannot be any better than the accuracy of its  
scaling references. Equation 1 is mathematically incomplete in  
representing the behavior of a demodulating log amp such as  
the AD8307, where VIN has an alternating sign. However, the  
basic principles are unaffected, and we can safely use this as our  
starting point in the analyses of log amp scaling which follow.  
While Equation 1 is fundamentally correct, a simpler formula is  
appropriate for specifying the calibration attributes of a log amp  
like the AD8307, which demodulates a sine wave input:  
V
OUT  
5V  
Y
4V  
VOUT = VSLOPE (PIN P0)  
where:  
(3)  
Y
V
SHIFT  
3V  
2V  
V
Y
Y
Y
LOWER INTERCEPT  
VOUT is the demodulated and filtered baseband (video or  
RSSI) output,  
VSLOPE is the logarithmic slope, now expressed in volts/dB  
(typically between 15 and 30 mV/dB),  
LOG V  
IN  
PIN is the input power, expressed in decibels relative to some  
reference power level,  
V
= 0  
OUT  
–2  
= 10 V  
X
2
4
= 10 V  
IN X  
+80dBc  
V
V
= V  
X
0dBc  
V
= 10 V  
V
IN  
IN  
IN  
X
–40dBc  
+40dBc  
and  
–2V  
P0 is the logarithmic intercept, expressed in decibels relative  
Y
to the same reference level.  
Figure 19. Ideal Log Am p Function  
T he most widely used reference in RF systems is decibels above  
1 mW in 50 , written dBm. Note that the quantity (PIN – P0) is  
just dB. T he logarithmic function disappears from the formula  
because the conversion has already been implicitly performed in  
stating the input in decibels. T his is strictly a concession to popu-  
lar convention: log amps manifestly do not respond to power  
(tacitly, power absorbed at the input), but, rather, to input  
Figure 19 shows the input/output relationship of an ideal log  
amp, conforming to Equation 1. T he horizontal scale is loga-  
rithmic and spans a wide dynamic range, shown here as over  
120 dB, or six decades. T he output passes through zero (the  
log-intercept) at the unique value VIN = VX and would ideally  
become negative for inputs below the intercept. In the ideal  
case, the straight line describing VOUT for all values of VIN would  
REV. A  
–7–  
AD8307  
voltage. T he use of dBV (decibels with respect to 1 V rms) would  
be more precise, though still incomplete, since waveform is  
involved, too. Since most users think about and specify RF  
signals in terms of power—even more specifically, in dBm re 50 Ω  
—we will use this convention in specifying the performance of  
the AD8307.  
in the case of the AD8307, VY is traceable to an on-chip band-  
gap reference, while VX is derived from the thermal voltage kT /q  
and later temperature-corrected.  
Let the input of an N-cell cascade be VIN, and the final output  
VOUT . For small signals, the overall gain is simply AN. A six-  
stage system in which A = 5 (14 dB) has an overall gain of  
15,625 (84 dB). T he importance of a very high small-signal gain  
in implementing the logarithmic function has been noted; how-  
ever, this parameter is of only incidental interest in the design of  
log amps.  
P r ogr essive Com pr ession  
Most high speed high dynamic range log amps use a cascade of  
nonlinear amplifier cells (Figure 20) to generate the logarithmic  
function from a series of contiguous segments, a type of piece-  
wise-linear technique. T his basic topology immediately opens  
up the possibility of enormous gain-bandwidth products. For  
example, the AD8307 employs six cells in its main signal path,  
each having a small-signal gain of 14.3 dB (×5.2) and a –3 dB  
bandwidth of about 900 MHz; the overall gain is about 20,000  
(86 dB) and the overall bandwidth of the chain is some 500 MHz,  
resulting in the incredible gain-bandwidth product (GBW) of  
10,000 GH z, about a million times that of a typical op amp.  
T his very high GBW is an essential prerequisite to accurate  
operation under small-signal conditions and at high frequencies.  
Equation 2 reminds us, however, that the incremental gain will  
decrease rapidly as VIN increases. T he AD8307 continues to  
exhibit an essentially logarithmic response down to inputs as  
small as 50 µV at 500 MHz.  
From here onward, rather than considering gain, we will analyze  
the overall nonlinear behavior of the cascade in response to a  
simple dc input, corresponding to the VIN of Equation 1. For  
very small inputs, the output from the first cell is V1 = AVIN  
;
from the second, V2 = A2 VIN, and so on, up to VN = AN VIN. At  
a certain value of VIN, the input to the Nth cell, VN1, is exactly  
equal to the knee voltage EK. T hus, VOUT = AEK and since there  
are N–1 cells of gain A ahead of this node, we can calculate that  
VIN = EK /AN1. T his unique situation corresponds to the lin-log  
transition, labeled 1 on Figure 22. Below this input, the cascade  
of gain cells is acting as a simple linear amplifier, while for higher  
values of VIN, it enters into a series of segments which lie on a  
logarithmic approximation (dotted line).  
STAGE 1  
STAGE 2  
STAGE N –1  
STAGE N  
V
OUT  
V
(4A-3) E  
(3A-2) E  
(2A-1) E  
AE  
V
A
A
A
A
X
W
K
K
K
Figure 20. Cascade of Nonlinear Gain Cells  
(A-1) E  
K
T o develop the theory, we will first consider a slightly different  
scheme to that employed in the AD8307, but which is simpler  
to explain and mathematically more straightforward to analyze.  
T his approach is based on a nonlinear amplifier unit, which we  
may call an A/1 cell, having the transfer characteristic shown in  
Figure 21. T he local small-signal gain VOUT /VIN is A, main-  
tained for all inputs up to the knee voltage EK, above which the  
incremental gain drops to unity. The function is symmetrical: the  
same drop in gain occurs for instantaneous values of VIN less  
than –EK. T he large-signal gain has a value of A for inputs in the  
range –EK VIN +EK, but falls asymptotically toward unity for  
very large inputs. In logarithmic amplifiers based on this ampli-  
fier function, both the slope voltage and the intercept voltage  
must be traceable to the one reference voltage, EK. T herefore, in  
this fundamental analysis, the calibration accuracy of the log amp  
is dependent solely on this voltage. In practice, it is possible to  
separate the basic references used to determine VY and VX and  
RATIO  
OF A  
K
LOG V  
IN  
0
N–1  
N–2  
N–3  
N–4  
/A  
E
/A  
E
/A  
E
/A  
E
K
K
K
K
Figure 22. The First Three Transitions  
Continuing this analysis, we find that the next transition occurs  
when the input to the (N–1) stage just reaches EK; that is, when  
VIN = EK /AN2. T he output of this stage is then exactly AEK,  
and it is easily demonstrated (from the function shown in Figure  
21) that the output of the final stage is (2A–1) EK (labeled on  
Figure 22). Thus, the output has changed by an amount (A–1)EK  
for a change in VIN from EK /AN1 to EK /AN2, that is, a ratio  
change of A. At the next critical point, labeled , we find the  
input is again A times larger and VOUT has increased to (3A–2)EK,  
that is, by another linear increment of (A–1)EK. Further analysis  
shows that right up to the point where the input to the first cell  
is above the knee voltage, VOUT changes by (A–1)EK for a ratio  
change of A in VIN. T his can be expressed as a certain fraction  
of a decade, which is simply log10(A). For example, when A = 5  
a transition in the piecewise linear output function occurs at  
regular intervals of 0.7 decade (that is, log10(A), or 14 dB divided  
by 20 dB). T his insight allows us to immediately write the Volts  
per Decade scaling parameter, which is also the Scaling Voltage  
VY, when using base-10 logarithms, as:  
AE  
K
SLOPE = 1  
A/1  
SLOPE = A  
0
E
INPUT  
K
A 1 EK  
(
=
)
(
Linear Change in VOUT  
Decades Change in VIN  
VY  
=
(4)  
log10  
A
)
Figure 21. The A/1 Am plifier Function  
REV. A  
–8–  
AD8307  
Note that only two design parameters are involved in determin-  
ing VY, namely, the cell gain A and the knee voltage EK, while  
N, the number of stages, is unimportant in setting the slope of  
the overall function. For A = 5 and EK = 100 mV, the slope  
would be a rather awkward 572.3 mV per decade (28.6 mV/dB).  
A well designed log amp will have rational scaling parameters.  
A EK  
log10  
VY  
=
(6)  
A
(
)
Preference for the A/0 style of log amp, over one using A/1 cells,  
stems from several considerations. T he first is that an A/0 cell  
can be very simple. In the AD8307 it is based on a bipolar-  
transistor differential pair, having resistive loads RL and an  
emitter current source, IE. T his will exhibit an equivalent knee-  
voltage of EK = 2 kT /q and a small signal gain of A = IERL /EK.  
T he large signal transfer function is the hyperbolic tangent (see  
dotted line in Figure 23). T his function is very precise, and the  
deviation from an ideal A/0 form is not detrimental. In fact, the  
rounded shoulders of the tanh function beneficially result in a  
lower ripple in the logarithmic conformance than that obtained  
using an ideal A/0 function.  
T he intercept voltage can be determined by using two pairs of  
transition points on the output function (consider Figure 22).  
T he result is:  
EK  
VX  
=
(5)  
N +1/ A1  
(
)
)
A(  
For the case under consideration, using N = 6, we calculate  
VZ = 4.28 µV. However, we need to be careful about the inter-  
pretation of this parameter, since it was earlier defined as the  
input voltage at which the output passes through zero (see Fig-  
ure 19). But clearly, in the absence of noise and offsets, the  
output of the amplifier chain shown in Figure 21 can be zero  
when, and only when, VIN = 0. T his anomaly is due to the finite  
gain of the cascaded amplifier, which results in a failure to maintain  
the logarithmic approximation below the lin-log transition (point ➀  
in Figure 22). Closer analysis shows that the voltage given by  
Equation 5 represents the extrapolated, rather than actual,  
intercept.  
An amplifier built of these cells is entirely differential in struc-  
ture and can thus be rendered very insensitive to disturbances  
on the supply lines and, with careful design, to temperature  
variations. T he output of each gain cell has an associated  
transconductance (gm) cell, which converts the differential out-  
put voltage of the cell to a pair of differential currents, which are  
summed simply by connecting the outputs of all the gm (detec-  
tor) stages in parallel. T he total current is then converted back  
to a voltage by a transresistance stage, to generate the logarith-  
mic output. T his scheme is depicted, in single-sided form, in  
Figure 24.  
D em odulating Log Am ps  
Log amps based on a cascade of A/1 cells are useful in baseband  
applications, because they do not demodulate their input signal.  
However, baseband and demodulating log amps alike can be  
made using a different type of amplifier stage, which we will call  
an A/0 cell. Its function differs from that of the A/1 cell in that  
the gain above the knee voltage EK falls to zero, as shown by the  
solid line in Figure 23. T his is also known as the limiter func-  
tion, and a chain of N such cells is often used to generate a  
hard-limited output, in recovering the signal in FM and PM  
modes.  
2
3
4
AV  
A V  
A V  
A V  
IN  
IN  
IN  
IN  
A/0  
A/0  
A/0  
A/0  
V
V
LIM  
IN  
g
g
g
g
g
m
m
m
m
m
I
OUT  
Figure 24. Log Am p Using A/0 Stages and Auxiliary Sum -  
m ing Cells  
T he chief advantage of this approach is that the slope voltage  
may now be decoupled from the knee-voltage EK = 2 kT /q,  
which is inherently PT AT . By contrast, the simple summation  
of the cell outputs would result in a very high temperature coef-  
ficient of the slope voltage given by Equation 6. T o do this, the  
detector stages are biased with currents (not shown in the Fig-  
ure) which are rendered stable with temperature. T hese are  
derived either from the supply voltage (as in the AD606 and  
AD608) or from an internal bandgap reference (as in the AD640  
and AD8307). T his topology affords complete control over the  
magnitude and temperature behavior of the logarithmic slope,  
decoupling it completely from EK.  
SLOPE = 0  
AE  
K
TANH  
A/0  
SLOPE = A  
0
E
K
INPUT  
Figure 23. A/0 Am plifier Functions (Ideal and Tanh)  
The AD640, AD606, AD608, AD8307 and various other Analog  
Devices communications products incorporating a logarithmic  
IF amplifier all use this technique. It will be apparent that the  
output of the last stage can no longer provide the logarithmic  
output, since this remains unchanged for all inputs above the  
limiting threshold, which occurs at VIN = EK /AN1. Instead, the  
logarithmic output is now generated by summing the outputs of  
all the stages. T he full analysis for this type of log amp is only  
slightly more complicated than that of the previous case. It is  
readily shown that, for practical purpose, the intercept voltage  
VX is identical to that given in Equation 5, while the slope  
voltage is:  
A further step is yet needed to achieve the demodulation response,  
required when the log amp is to convert an alternating input  
into a quasi-dc baseband output. T his is achieved by altering the  
gm cells used for summation purposes to also implement the  
rectification function. Early discrete log amps based on the  
progressive compression technique used half-wave rectifiers.  
T his made post-detection filtering difficult. T he AD640 was the  
first commercial monolithic log amp to use a full-wave rectifier,  
a practice followed in all subsequent Analog Devices types.  
REV. A  
–9–  
AD8307  
We can model these detectors as being essentially linear gm cells,  
but producing an output current independent of the sign of the  
voltage applied to the input of each cell. T hat is, they imple-  
ment the absolute-value function. Since the output from the  
later A/0 stages closely approximates an amplitude-symmetric  
square wave for even moderate input levels (most stages of the  
amplifier chain operate in a limiting mode), the current output  
from each detector is almost constant over each period of the  
input. Somewhat earlier detectors stages produce a waveform  
having only very brief dropouts, while the detectors nearest the  
input produce a low level almost-sinusoidal waveform at twice  
the input frequency. T hese aspects of the detector system result  
in a signal that is easily filtered, resulting in low residual ripple  
on the output.  
O ffset Contr ol  
In a monolithic log amp, direct-coupling between the stages is  
used for several reasons. First, this avoids the use of coupling  
capacitors, which may typically have a chip area equal to that of  
a basic gain cell, thus considerably increasing die size. Second,  
the capacitor values predetermine the lowest frequency at which  
the log amp can operate; for moderate values, this may be as  
high as 30 MHz, limiting the application range. T hird, the para-  
sitic (back-plate) capacitance lowers the bandwidth of the cell,  
further limiting the applications.  
But the very high dc gain of a direct-coupled amplifier raises a  
practical issue. An offset voltage in the early stages of the chain  
is indistinguishable from a ‘real’ signal. If it were as high as, say,  
400 µV, it would be 18 dB larger than the smallest ac signal  
(50 µV), potentially reducing the dynamic range by this amount.  
T his problem is averted by using a global feedback path from  
the last stage to the first, which corrects this offset in a similar  
fashion to the dc negative feedback applied around an op amp.  
T he high frequency components of the signal must, of course,  
be removed, to prevent a reduction of the HF gain in the for-  
ward path.  
Inter cept Calibr ation  
All monolithic log amps from Analog Devices include accurate  
means to position the intercept voltage VX (or equivalent power  
for a demodulating log amp). Using the scheme shown in Figure  
24, the basic value of the intercept level departs considerably  
from that predicted by the simpler analyses given earlier. How-  
ever, the intrinsic intercept voltage is still proportional to EK,  
which is PT AT (Equation 5). Recalling that the addition of an  
offset to the output produces an effect which is indistinguishable  
from a change in the position of the intercept, we can cancel the  
left-right motion of VX resulting from the temperature variation of  
EK by adding an offset having the required temperature behavior.  
In the AD8307, this is achieved by an on-chip filter, providing  
sufficient suppression of HF feedback to allow operation above  
1 MHz. T o extend the range below this frequency, an external  
capacitor may be added. T his permits the high pass corner to be  
lowered to audio frequencies using a capacitor of modest value.  
Note that this capacitor has no effect on the minimum signal  
frequency for input levels above the offset voltage: this extends  
down to dc (for a signal applied directly to the input pins). T he  
offset voltage will vary from part to part; some will exhibit essen-  
tially stable offsets of under 100 µV, without the benefit of an  
offset adjustment.  
T he precise temperature-shaping of the intercept-positioning  
offset results in a log amp having stable scaling parameters,  
making it a true measurement device, for example, as a cali-  
brated Received Signal Strength Indicator (RSSI). In this appli-  
cation, one is more interested in the value of the output for an  
input waveform which is invariably sinusoidal. T he input level  
may alternatively be stated as an equivalent power, in dBm, but  
here we must step carefully. It is essential to know the load  
impedance in which this power is presumed to be measured.  
Extension of Range  
T he theoretical dynamic range for the basic log amp shown in  
Figure 24 is AN. For A = 5.2 (14.3 dB) and N = 6, it is 20,000  
or 86 dB. T he actual lower end of the dynamic range is largely  
determined by the thermal noise floor, measured at the input of  
the chain of amplifiers. T he upper end of the range is extended  
upward by the addition of top-end detectors. T he input signal is  
applied to a tapped attenuator, and progressively smaller signals  
are applied to three passive rectifying gm cells whose outputs are  
summed with those of the main detectors. With care in design,  
the extension to the dynamic range can be seamless over the full  
frequency range. For the AD8307 it amounts to a further 27 dB.  
In RF practice, it is generally safe to assume a reference imped-  
ance of 50 , in which 0 dBm (1 mW) corresponds to a sinusoi-  
dal amplitude of 316.2 mV (223.6 mV rms). T he intercept may  
likewise be specified in dBm. For the AD8307, it is positioned  
at –84 dBm, corresponding to a sine amplitude of 20 µV. It is  
important to bear in mind that log amps do not respond to  
power, but to the voltage applied to their input.  
T he AD8307 presents a nominal input impedance much higher  
than 50 (typically 1.1 kat low frequencies). A simple input  
matching network can considerably improve the sensitivity of  
this type of log amp. T his will increase the voltage applied to the  
input and thus alter the intercept. For a 50 match, the voltage  
gain is 4.8 and the whole dynamic range moves down by 13.6 dB  
(see Figure 33). Note that the effective intercept is a function of  
waveform. For example, a square-wave input will read 6 dB  
higher than a sine wave of the same amplitude, and a Gaussian  
noise input 0.5 dB higher than a sine wave of the same rms  
value.  
T he total dynamic range is thus theoretically 113 dB. T he speci-  
fied range of 90 dB (–74 dBm to +16 dBm) is that for high  
accuracy, calibrated operation, and includes the low end degra-  
dation due to thermal noise, and the top end reduction due to  
voltage limitations. T he additional stages are not, however,  
redundant, but are needed to maintain accurate logarithmic  
conformance over the central region of the dynamic range, and  
in extending the usable range considerably beyond the specified  
range. In applications where log-conformance is less demand-  
ing, the AD8307 can provide over 95 dB of range.  
REV. A  
–10–  
AD8307  
P RO D UCT O VERVIEW  
junction capacitances associated with them, due to active  
devices or ESD protection; these may be neither accurate nor  
stable. Component numbering in each of these interface dia-  
grams is local.  
T he AD8307 comprises six main amplifier/limiter stages, each  
having a gain of 14.3 dB and small signal bandwidth of 900 MHz;  
the overall gain is 86 dB with a –3 dB bandwidth of 500 MHz.  
T hese six cells, and their associated gm-styled full-wave detec-  
tors, handle the lower two-thirds of the dynamic range. T hree  
top-end detectors, placed at 14.3 dB taps on a passive attenua-  
tor, handle the upper third of the 90 dB range. Biasing for these  
cells is provided by two references: one determines their gain;  
the other is a bandgap circuit that determines the logarithmic  
slope and stabilizes it against supply- and temperature-variations.  
T he AD8307 may be enabled/disabled by a CMOS-compatible  
level at ENB (Pin 6). T he first amplifier stage provides a low  
voltage noise spectral density (1.5 nV/Hz).  
Enable Inter face  
T he chip-enable interface is shown in Figure 26. T he currents  
in the diode-connected transistors control the turn-on and turn-  
off states of the bandgap reference and the bias generator, and  
are a maximum of 100 µA when Pin 6 is taken to 5 V, under  
worst case conditions. Left unconnected, or at a voltage below  
1 V, the AD8307 will be disabled and consume a sleep current  
of under 50 µA; tied to the supply, or a voltage above 2 V, it will  
be fully enabled. T he internal bias circuitry is very fast (typically  
<100 ns for either OFF or ON), and in practice the latency  
period before the log amp exhibits its full dynamic range is more  
likely to be limited by factors relating to the use of ac coupling  
at the input or the settling of the offset-control loop (see follow-  
ing sections).  
T he differential current-mode outputs of the nine detectors are  
summed and then converted to single-sided form in the output  
stage, nominally scaled 2 µA/dB. T he logarithmic output voltage  
is developed by applying this current to an on-chip 12.5 kΩ  
resistor, resulting in a logarithmic slope of 25 mV/dB (i.e.,  
500 mV/decade) at OUT . T his voltage is not buffered, allowing  
the use of a variety of special output interfaces, including the  
addition of post-demodulation filtering. T he last detector stage  
includes a modification to temperature-stabilize the log intercept,  
which is accurately positioned to make optimal use of the full  
output voltage range available. T he intercept may be adjusted  
using the pin INT , which adds or subtracts a small current to  
the signal current.  
AD8307  
40k⍀  
ENB  
TO BIAS  
STAGES  
COM  
Figure 26. Enable Interface  
AD8307  
VPS  
VPS  
ENB  
BAND GAP REFERENCE  
SUPPLY  
7.5mA  
ENABLE  
INT. ADJ  
AND BIASING  
S
125⍀  
SIX 14.3dB 900MHz  
AMPLIFIER STAGES  
INT  
6k⍀  
INP  
1.1k⍀  
COM  
+INPUT  
–INPUT  
MIRROR  
2k⍀  
6k⍀  
C
P
INM  
2A  
/dB  
3
OUT  
Q1  
INP  
INM  
OUTPUT  
2
NINE DETECTOR CELLS  
SPACED 14.3dB  
12.5k⍀  
TOP-END  
DETECTORS  
4k⍀  
C
D
~3k⍀  
COMMON  
COM  
COM  
Q2  
OFS  
INPUT– OFFSET  
COMPENSATION LOOP  
OFS. ADJ.  
TYP +2.2V FOR  
+3V SUPPLY,  
+3.2V AT +5V  
C
M
COM  
I
E
COM  
2.4mA  
S
Figure 25. Main Features of the AD8307  
T he last gain stage also includes an offset-sensing cell. T his  
generates a bipolarity output current when the main signal path  
has an imbalance due to accumulated dc offsets. T his current is  
integrated by an on-chip capacitor (which may be increased in  
value by an off-chip component, at OFS). T he resulting voltage  
is used to null the offset at the output of the first stage. Since it  
does not involve the signal input connections, whose ac coupling  
capacitors otherwise introduce a second pole in the feedback  
path, the stability of the offset correction loop is assured.  
COM  
Figure 27. Signal Input Interface  
Input Inter face  
Figure 27 shows the essentials of the signal input interface. CP  
and CM are the parasitic capacitances to ground; CD is the dif-  
ferential input capacitance, mostly due to Q1 and Q2. In most  
applications both input pins are ac-coupled. T he switches S  
close when Enable is asserted. When disabled, the inputs float,  
bias current IE is shut off, and the coupling capacitors remain  
charged. If the log amp is disabled for long periods, small leak-  
age currents will discharge these capacitors. If they are poorly  
matched, charging currents at power-up can generate a transient  
input voltage which may block the lower reaches of the dynamic  
range until it has become much less than the signal.  
T he AD8307 is built on an advanced dielectrically-isolated  
complementary bipolar process. Most resistors are thin-film  
types having a low temperature coefficient of resistance (T CR)  
and high linearity under large signal conditions. T heir absolute  
tolerance will typically be within ±20%. Similarly, the capacitors  
have a typical tolerance of ±15% and essentially zero tempera-  
ture or voltage sensitivity. Most interfaces have additional small  
REV. A  
–11–  
AD8307  
In most applications, the signal will be single-sided, and may be  
applied to either Pin 1 or Pin 8, with the other pin ac-coupled to  
ground. Under these conditions, the largest input signal that can  
be handled by the AD8307 is +10 dBm (sine amplitude of ±1 V)  
when operating from a 3 V supply; a +16 dBm may be handled  
using a 5 V supply. T he full 16 dBm may be achieved for sup-  
plies down to 2.7 V, using a fully balanced drive. For frequencies  
above about 10 MHz, this is most easily achieved using a matching  
network (see below). Using such a network, having an inductor  
at the input, the input transient noted above is eliminated. Occa-  
sionally, it may be desirable to use the dc-coupled potential of  
the AD8307. T he main challenge here is to present signals to  
the log amp at the elevated common-mode input level, requiring  
the use of low noise, low offset buffer amplifiers. Using dual  
supplies of ±3 V, the input pins may operate at ground potential.  
T he offset feedback is limited to a range ±400 µV; signals larger  
than this override the offset control loop, which only impacts  
performance for very small inputs. An external capacitor re-  
duces the high pass corner to arbitrarily low frequencies; using  
1 µF this corner is below 10 Hz. All ADI log amps use an offset-  
nulling loop; the AD8307 differs in using this single-sided form.  
O utput Inter face  
T he outputs from the nine detectors are differential currents,  
having an average value that is dependent on the signal input  
level, plus a fluctuation at twice the input frequency. T he cur-  
rents are summed at nodes LGP and LGN in Figure 29. Fur-  
ther currents are added at these nodes, to position the intercept,  
by slightly raising the output for zero input, and to provide  
temperature compensation. Since the AD8307 is not laser-  
trimmed, there is a small uncertainty in both the log slope and  
the log intercept. T hese scaling parameters may be adjusted (see  
below).  
O ffset Inter face  
T he input-referred dc offsets in the signal path are nulled via the  
interface associated with Pin 3, shown in Figure 28. Q1 and Q2  
are the first stage input transistors, with their corresponding  
load resistors (125 ). Q3 and Q4 generate small currents,  
which can introduce a dc offset into the signal path. When the  
voltage on OFS is at about 1.5 V, these currents are equal, and  
nominally 16 µA. When OFS is taken to ground, Q4 is off and  
the effect of the current in Q3 is to generate an offset voltage of  
16 µA × 125 = 2 mV. Since the first stage gain is ×5, this is  
equivalent to a input offset (INP to INM) of 400 µV. When  
OFS is taken to its most positive value, the input-referred offset  
is reversed, to –400 µV. If true dc-coupling is needed, down to  
very small inputs, this automatic loop must be disabled, and the  
residual offset eliminated using a manual adjustment, as explained  
in the next section.  
For zero-signal conditions, all the detector output currents are  
equal. For a finite input, of either polarity, their difference is  
converted by the output interface to a single-sided unipolar  
current nominally scaled 2 µA/dB (40 µA/decade), at the output  
pin OUT . An on-chip 12.5 kresistor, R1, converts this cur-  
rent to a voltage of 25 mV/dB. C1 and C2 are effectively in  
shunt with R1 and form a low-pass filter pole, with a corner  
frequency of about 5 MHz. T he pulse response settles to within  
1% of the final value within 300 ns. T his integral low-pass filter  
provides adequate smoothing in many IF applications. At  
10.7 MHz, the 2f ripple is 12.5 mV in amplitude, equivalent to  
±0.5 dB, and only 0.5 mV (±0.02 dB) at f = 50 MHz. A filter  
capacitor CFLT added from OUT to ground will lower this cor-  
ner frequency. Using 1 µF, the ripple is maintained to less than  
±0.5 dB down to input frequencies of 100 Hz. Note that COFS  
(above) should also be increased in low frequency applications,  
In normal operation, however, using an ac-coupled input signal,  
the OFS pin should be left open. Any residual input-offset volt-  
age is then automatically nulled by the action of the feedback  
loop. T he gm cell, which is gated off when the chip is disabled,  
converts any output offset (sensed at a point near the end of the  
cascade of amplifiers) to a current. T his is integrated by the on-  
and will typically be made equal to CFLT  
.
It may be desirable to increase the speed of the output response,  
with the penalty of increased ripple. One way to do this is sim-  
ply by connecting a shunt load resistor from OUT to ground,  
which raises the low pass corner frequency. T his also alters the  
logarithmic slope, for example to 7.5 mV/dB using a 5.36 kΩ  
resistor, while reducing the 10%-90% rise time to 25 ns. T he  
ripple amplitude for 50 MHz input remains 0.5 mV, but this is  
now equivalent to ±0.07 dB. If a negative supply is available,  
the output pin may be connected directly to the summing  
node of an external op amp connected as an inverting-mode  
transresistance stage.  
chip capacitor CHP, plus any added external capacitance COFS  
,
so as to generate an error voltage, which is applied back to the  
input stage in the polarity needed to null the output offset. From  
a small-signal perspective, this feedback alters the response of  
the amplifier, which, rather than behaving as a fully dc-coupled  
system, now exhibits a zero in its ac transfer function, resulting  
in a closed-loop high-pass corner at about 700 kHz.  
VPS  
125⍀  
INPUT  
STAGE  
VPS  
MAIN GAIN  
TO LAST  
1.25k1.25k⍀  
1.25k1.25k⍀  
3pF  
FROM ALL  
8.25k⍀  
60k⍀  
STAGES  
DETECTOR  
LGP  
LGM  
Q1  
400mV  
16A AT  
BALANCE  
S
DETECTORS  
Q2  
g
m
INT  
2A/dB  
0-220A  
AVERAGE  
ERROR  
CURRENT  
OFS  
BIAS, 1.2V  
Q3  
36k⍀  
Q4  
25mV/dB  
OUT  
C
C
HP  
OFS  
48k⍀  
C2  
1pF  
BIAS  
COM  
C1  
2.5pF  
R1  
12.5k⍀  
C
FLT  
60A  
Figure 28. Offset Interface and Offset-Nulling Path  
COM  
Figure 29. Sim plified Output Interface  
REV. A  
–12–  
AD8307  
USING TH E AD 8307  
Figure 31 shows the output versus the input level, in dBm when  
driven from a terminated 50 generator, for sine inputs at  
10 MHz, 100 MHz and 500 MHz; Figure 32 shows the typical  
logarithmic conformance under the same conditions. Note that  
+10 dBm corresponds to a sine amplitude of 1 V, equivalent to  
an rms power of 10 mW in a 50 termination. But if the termi-  
nation resistor is omitted, the input power is negligible. T he use  
of dBm to define input level therefore needs to be considered  
carefully in connection with the AD8307.  
T he AD8307 has very high gain and a bandwidth from dc to  
over 1 GHz, at which frequency the gain of the main path is still  
over 60 dB. Consequently, it is susceptible to all signals within  
this very broad frequency range that find their way to the input  
terminals. It is important to remember that these are quite indis-  
tinguishable from the “wanted” signal, and will have the effect  
of raising the apparent noise floor (that is, lowering the useful  
dynamic range). For example, while the signal of interest may  
be an IF of 50 MHz, any of the following could easily be larger  
than the IF signal at the lower extremities of its dynamic range:  
60 Hz hum, picked up due to poor grounding techniques; spuri-  
ous coupling from a digital clock source on the same PC board;  
local radio stations; etc.  
3
2.5  
10MHz  
2
Careful shielding is essential. A ground plane should be used to  
provide a low impedance connection to the common pin COM,  
for the decoupling capacitor(s) used at VPS, and as the output  
ground. It is inadvisable to assume that the ground plane is an  
equipotential, however, and neither of the inputs should be ac-  
coupled directly to the ground plane, but kept separate from it,  
being returned instead to the low associated with the source.  
T his may mean isolating the low side of an input connector with  
a small resistance to the ground plane.  
1.5  
100MHz  
1
500MHz  
0.5  
0
–80 –70 –60 –50 –40 –30 –20 –10  
0
10  
20  
Basic Connections  
INPUT LEVEL – dBm  
Figure 30 shows the simple connections suitable for many appli-  
cations. T he inputs are ac-coupled by C1 and C2, which should  
have the same value, say, CC. T he coupling time-constant is RIN  
CC/2, thus forming a high pass corner with a 3 dB attenuation at  
fHP = 1/(p RIN CC ). In high frequency applications, fHP should  
be as large as possible, in order to minimize the coupling of  
unwanted low frequency signals. Conversely, in low frequency  
applications, a simple RC network forming a low-pass filter  
should be added at the input for the same reason. For the case  
where the generator is not terminated, the signal range should  
be expressed in terms of the voltage response, and extends from  
–85 dBV to +6 dBV.  
Figure 31. Log Response at 10 MHz, 100 MHz and 500 MHz  
5
4
3
2
500MHz  
1
0
10MHz  
–1  
–2  
–3  
–4  
–5  
100MHz  
0.1F  
4.7⍀  
V , 2.7V – 5.5V  
P
AT 8mA  
C1 = C  
C
NC  
–80 –70 –60 –50  
–30  
INPUT LEVEL – dBm  
–10  
0
10  
20  
–40  
–20  
INP VPS ENB INT  
R
INϷ  
INPUT  
–75dBm TO  
+16dBm  
R
AD8307  
Figure 32. Logarithm ic Law Conform ance at 10 MHz,  
100 MHz and 500 MHz  
T
1.1k⍀  
INM COM OFS OUT  
OUTPUT  
25mV/dB  
NC  
Input Matching  
C2 = C  
C
Where higher sensitivity is required, an input matching network  
is valuable. Using a transformer to achieve the impedance trans-  
formation also eliminates the need for coupling capacitors,  
lowers the offset voltage generated directly at the input, and  
balances the drives to INP and INM. T he choice of turns ratio  
will depend somewhat on the frequency. At frequencies below  
50 MHz, the reactance of the input capacitance is much higher  
than the real part of the input impedance. In this frequency  
range, a turns ratio of about 1:4.8 will lower the input imped-  
ance to 50 while raising the input voltage, and thus lowering  
the effect of the short circuit noise voltage by the same factor.  
T here will be a small contribution from the input noise current,  
so the total noise will be reduced by a somewhat smaller factor.  
T he intercept will also be lowered by the turns ratio; for a  
50 match, it will be reduced by 20 log10 (4.8) or 13.6 dB.  
NC = NO CONNECT  
Figure 30. Basic Connections  
Where it is necessary to terminate the source at a low imped-  
ance, the resistor RT should be added, with allowance for the  
shunting effect of the basic 1.1 kinput resistance (RIN) of the  
AD8307. For example, to terminate a 50 source a 52.3 1%  
tolerance resistor should be used. T his may be placed on the  
input side or the log-amp side of the coupling capacitors; in the  
former case, smaller capacitors can be used for a given fre-  
quency range; in the latter case, the effective RIN is lowered  
directly at the log-amp inputs.  
REV. A  
–13–  
AD8307  
Nar r ow-Band Matching  
Table I. Narrow-Band Matching Values  
T ransformer coupling is useful in broadband applications. How-  
ever, a magnetically-coupled transformer may not be convenient  
in some situations. At high frequencies, it is often preferable to  
use a narrow-band matching network, as shown in Figure 33.  
T his has several advantages. T he same voltage gain is achieved,  
providing increased sensitivity, but now a measure of selectively  
is also introduced. T he component count is low: two capacitors  
and an inexpensive chip inductor. Further, by making these  
capacitors unequal the amplitudes at INP and INM may be  
equalized when driving from a single-sided source; that is, the  
network also serves as a balun. Figure 34 shows the response for  
a center frequency of 100 MHz; note the very high attenuation  
at low frequencies. T he high-frequency attenuation is due to the  
input capacitance of the log amp.  
FC  
MH z  
ZIN  
C1  
pF  
C2  
pF  
LM  
nH  
Voltage  
Gain (dB)  
10  
45  
44  
46  
50  
57  
57  
50  
54  
160  
82  
150  
75  
27  
13  
8.2  
6.8  
5.6  
3.3  
3300  
1600  
680  
330  
220  
150  
100  
39  
13.3  
13.4  
13.4  
13.4  
13.2  
12.8  
12.3  
10.9  
20  
50  
30  
100  
150  
200  
250  
500  
15  
10  
7.5  
6.2  
3.9  
10  
103  
102  
99  
98  
101  
95  
100  
51  
22  
11  
7.5  
5.6  
4.3  
2.2  
91  
5600  
2700  
1000  
430  
260  
180  
130  
47  
10.4  
10.4  
10.6  
10.5  
10.3  
10.3  
9.9  
20  
43  
50  
18  
100  
150  
200  
250  
500  
9.1  
6.2  
4.7  
3.9  
2.0  
0.1F  
4.7⍀  
92  
114  
V , 2.7V – 5.5V  
P
AT 8mA  
6.8  
C1  
50INPUT  
–88dBm TO  
+3dBm  
NC  
Slope and Inter cept Adjustm ents  
Where higher calibration accuracy is needed, the adjustments  
shown in Figure 35 can be used, either singly or in combination.  
T he log slope is lowered to 20 mV/dB by shunting the nominally  
12.5 kon-chip load resistor (see Figure 29) with 50 k,  
adjusted by VR1. T he calibration range is ±10% (18 mV/dB to  
22 mV/dB), including full allowance for the variability in the  
value of the internal load. T he adjustment may be made by  
alternately applying two input levels, provided by an accurate  
signal generator, spaced over the central portion of the log amp’s  
dynamic range, for example –60 dBm and 0 dBm. An AM-  
modulated signal, at the center of the dynamic range, can also  
be used. For a modulation depth M, expressed as a fraction, the  
decibel range between the peaks and troughs over one cycle of  
the modulation period is given by:  
INP VPS ENB INT  
AD8307  
L
M
Z
= 50⍀  
IN  
INM COM OFS OUT  
OUTPUT  
25mV/dB  
NC  
C2  
NC = NO CONNECT  
Figure 33. High Frequency Input Matching Network  
14  
13  
12  
11  
GAIN  
10  
9
8
7
6
5
4
1+ M  
dB = 20 log10  
(7)  
1M  
For example, using an rms signal level of –40 dBm with a 70%  
modulation depth (M = 0.7), the decibel range is 15 dB, as the  
signal varies from –47.5 dBm to –32.5 dBm.  
3
INPUT  
2
1
0
T he log intercept is adjustable over a ±3 dB range, which is  
sufficient to absorb the worst-case intercept error in the AD8307  
plus some system-level errors. For greater range, set RS to zero.  
VR2 is adjusted while applying an accurately known CW signal  
near the lower end of the dynamic range, in order to minimize  
the effect of any residual uncertainty in the slope. For example,  
to position the intercept to –80 dBm, a test level of –65 dBm  
may be applied and VR2 adjusted to produce a dc output of  
15 dB above zero at 25 mV/dB, which is +0.3 V.  
–1  
60  
70  
80  
90  
100  
110  
120  
130  
140  
150  
FREQUENCY – MHz  
Figure 34. Response of 100 MHz Matching Network  
T able I provides solutions for a variety of center frequencies FC  
and matching impedances ZIN of nominally 50 and 100 .  
T he unequal capacitor values were chosen to provide a well-  
balanced differential drive, and also to allow better centering of  
the frequency response peak when using standard value compo-  
nents; this generally results in a ZIN that is not exact. T he full  
AD8307 HF input impedance and the inductor losses were  
included in the modeling.  
0.1F  
4.7⍀  
V , 2.7V – 5.5V  
P
VR2  
AT 8mA  
R
50k⍀  
S
C1 = C  
C
؎3dB  
INP VPS ENB INT  
AD8307  
INPUT  
–75dBm TO  
+16dBm  
FOR V = 3V, R = 20k⍀  
P
P
S
V
= 5V, R = 51k⍀  
S
INM COM OFS OUT  
C2 = C  
C
20mV/dB  
؎10%  
NC  
32.4k⍀  
VR1  
NC = NO CONNECT  
50k⍀  
Figure 35. Slope and Intercept Adjustm ents  
REV. A  
–14–  
AD8307  
0.1F  
AP P LICATIO NS  
4.7⍀  
V
, 2.7–5.5V  
P
T he AD8307 is a highly versatile and easily applied log amp  
requiring very few external components. Most applications of  
this product can be accommodated using the simple connec-  
tions shown in the preceding section. A few examples of more  
specialized applications are provided here.  
VR2  
50k⍀  
(SEE FIGURE 36)  
AD8031  
R
S
2N3904  
؎3dB  
25mV/dB  
INP VPS ENB INT  
R
T
INPUT  
–75dBm TO  
+16dBm  
(OPTIONAL)  
AD8307  
R2  
3.01k⍀  
Buffer ed O utput  
INM COM OFS OUT  
T he output may be buffered, and the slope optionally increased,  
using an op amp. If the single-supply capability is to be pre-  
served, a suitable component is the AD8031. Like the AD8307,  
it is capable of operating from a 2.7 V supply and features a rail-  
to-rail output capability; it is available in a 5-pin version and in  
dual form as the 8-pin AD8032. Figure 36 shows how the slope  
may be increased to 50 mV/dB (1 V per decade), requiring a 5 V  
supply (90 dB times 50 mV is a 4.5 V swing). VR1 provides a  
±10% slope adjustment; VR2 provides a ±3 dB intercept range.  
With R2 = 4.99 k, the slope is adjustable to 25 mV/dB, allow-  
ing the use of a 2.7 V supply. Setting R2 to 80.6 k, it is raised  
to 100 mV/dB, providing direct reading in decibels on a digital  
voltmeter. Since a 90 dB range now corresponds to a 9 V swing,  
a supply of at least this amount is needed for the op amp.  
OUTPUT  
50⍀  
MIN  
10mV/dB ؎18%  
VR1  
NC  
R1  
2k⍀  
5k⍀  
6.34k⍀  
COM  
NC = NO CONNECT  
Figure 37. Cable-Driving Log Am p  
In Figure 38, the capacitor values were chosen for operation in  
the audio field, providing a corner frequency of 10 Hz, an attenua-  
tion of 80 dB/decade above this frequency, and a 1% settling  
time of 150 ms (0.1% in 175 ms). T he residual ripple is 4 mV  
(±0.02 dB) when the input to the AD8307 is at 20 Hz. T his  
filter may easily be adapted to other frequencies, by proportional  
scaling of C5–C7 (e.g., for 100 kHz use 100 pF). Placed ahead  
of a digital multimeter, the convenient slope scaling of 100 mV/dB  
requires only a repositioning of the decimal point to read directly  
in decibels. The supply voltage for the filter must be large enough  
to support the dynamic range; a minimum of 9 V is needed for  
most applications; 12 V is recommended.  
0.1F  
4.7⍀  
V , 2.7V – 5.5V  
P
VR2  
50k⍀  
FOR V = 3V, R = 20k⍀  
R
P
P
S
S
V
= 5V, R = 51k⍀  
S
؎3dB  
OUTPUT  
50mV/dB  
؎10%  
0.1F  
4.7⍀  
INP VPS ENB INT  
AD8307  
INPUT  
–75dBm TO  
+16dBm  
AD8031  
R2  
V
OP AMP IS AD8032  
P
30.1k⍀  
VR1  
SCALE C1 – C8 AS NEEDED  
(SEE TEXT). NOTE POLARITIES  
IF TANTALUM CAPACITORS  
ARE USED.  
R1  
50k⍀  
2k⍀  
INM COM OFS OUT  
422⍀  
INPUT  
5mV TO  
160V rms  
20mV/dB  
VR1  
INT ؎4dB  
NC  
C1  
10F  
C8  
1F  
OUTPUT  
100mV/dB  
R1  
20k⍀  
50k⍀  
NC  
C1  
32.4k⍀  
7.32k⍀  
INP VPS ENB INT  
COM  
C5  
1F  
100k⍀  
34k⍀  
NC = NO CONNECT  
C3  
2.5nF  
AD8307  
INM COM OFS OUT  
93k⍀  
Figure 36. Log Am p with Buffered Output  
34k⍀  
C1 is optional; it lowers the corner frequency of the low-pass  
output filter. A value of 0.1 µF should be used for applications  
in which the output is measured on a voltmeter or other low  
speed device. On the other hand, when C1 is omitted the 10%-  
90% response time is under 200 ns, and is typically 300 ns to  
99% of final value. T o achieve faster response times, it is neces-  
sary to lower the load resistance at the output of the AD8307,  
then restore the scale using a higher gain in the op amp. Using  
8.33 k, the basic slope is 10 mV/dB; this can be restored to  
25 mV/dB using a buffer gain of 2.5. T he overall 10%-90%  
response time is under 100 ns. Figure 37 shows how the output  
current capability can be augmented to drive a 50 load; RT  
optionally provides reverse termination, which halves the slope  
to 12.5 mV/dB.  
VR2  
50k⍀  
SLOPE C6  
C7  
1F  
C2  
10F  
C4  
1F  
75k⍀  
80.6k⍀  
1F  
32.4k⍀  
COM  
Figure 38. Log Am p with Four-Pole Low-Pass Filter  
Figure 38 also shows the use of an input attenuator which may  
optionally be employed here, or in any other of these applica-  
tions, to produce a useful wide-range ac voltmeter with direct-  
decibel scaling. T he basic range of –73 dBm to +17 dBm (that  
is, 50 µV rms to 1.6 V rms, for sine excitations) is shifted, for  
illustrative purposes, to 5 mV to 160 V rms (at which point the  
power in R1 is 512 mW). Because the basic input resistance of  
the AD8307 is not precise, VR1 is used to center the signal  
range at its input, doubling as a ±4 dB intercept adjustment.  
T he low frequency response extends to 15 Hz; a higher corner  
frequency can be selected as needed, by scaling C1 and C2. T he  
shunt capacitor C3 is used to lower the high frequency band-  
width to about 100 kHz, and thus lower the susceptibility to  
spurious signals. Other values should be chosen as needed for  
the coupling and filter capacitors.  
Four -P ole Filter  
In low frequency applications, for example, audio down to 20 Hz,  
it is useful to employ the buffer amplifier as a multipole low-pass  
filter, in order to achieve low output ripple while maintaining a  
rapid response time to changes in signal level.  
REV. A  
–15–  
AD8307  
1 W to 1 kW 50 P ower Meter  
T he AD603 has a very low input referred noise: 1.3 nV/Hz at  
its 100-input, or 0.9 nV/Hz when matched to 50 , equivalent  
to 0.4 µV rms, or –115 dBm, in a 200 kHz bandwidth. It is also  
capable of handling inputs in excess of 1.4 V rms, or +16 dBm.  
It is thus able to cope with a dynamic range of over 130 dB in  
this particular bandwidth.  
T he front-end adaptation shown in Figure 39 provides the mea-  
surement of power being delivered from a transmitter final am-  
plifier to an antenna. T he range has been set to cover the power  
range –30 dBm (7.07 mV rms, or 1 µW) to +60 dBm (223 V rms,  
or 1 kW). A nominal voltage attenuation ratio of 158:1 (44 dB) is  
used; thus the intercept is moved from –84 dBm to –40 dBm and  
the AD8307, scaled 0.25 V/decade of power, will now read 1.5 V  
for a power level of 100 mW, 2.0 V at 10 W and 2.5 V at 1 kW.  
Now, if the gain control voltage for the X-AMP is derived from  
the output of the AD8307, the effect will be to raise the gain of  
this front-end stage when the signal is small and lower it when it  
is large, but without altering the fundamental logarithmic nature  
of the response. T his gain range is 40 dB, which, combined with  
the 90 dB range of the AD8307, again corresponds to a 130 dB  
range.  
T he general expression is:  
P (dBm) = 40 (VOUT – 1)  
T he required attenuation could be implemented using a capaci-  
tive divider, providing a very low input capacitance, but it is  
difficult to ensure accurate values of small capacitors. A better  
approach is to use a resistive divider, taking the required precau-  
tions to minimize spurious coupling into the AD8307 by placing  
it in a shielded box, with the input resistor passing through a  
hole in this box, as indicated in the figure. T he coupling capaci-  
tors shown here are suitable for f 10 MHz. A capacitor may be  
added across the input pins of the AD8307 to reduce the re-  
sponse to spurious HF signals which, as already noted, extends  
to over 1 GHz.  
V
, +5V  
P
50⍀  
INPUT  
–105dBm  
TO  
R1  
187k⍀  
R2  
28k⍀  
BANDPASS  
FILTER*  
4.7⍀  
0.1F  
0.65V  
GPOS  
+15dBm  
NC  
VPOS  
VOUT  
R3  
330⍀  
INP VPS ENB INT  
L1  
750nH  
GNEG  
VINP  
R4  
464⍀  
AD8307  
AD603  
INM COM OFS OUT  
VNEG  
FDBK  
C1  
150pF  
VR1  
5k⍀  
INT  
0.3V  
TO  
2.3V  
NC  
COMM  
1nF  
؎8dB  
T he mismatch caused by the loading of this resistor will be  
trivial; only 0.05% of the power delivered to the load will be  
absorbed by the measurement system, a maximum of 500 mW  
at 1 kW. T he post-demodulation filtering and slope-calibration  
arrangements should be chosen from other applications described  
here, to meet the particular system requirements. T he 1 nF  
capacitor lowers the risk of HF signals entering the AD8307 via  
the load.  
R7  
80.6k⍀  
R6  
20k⍀  
V
, –5V  
N
0.15V TO 1.15V  
* E.G., MURATA SFE10.7MS2G-A  
NC = NO CONNECT  
R5  
100k⍀  
OUTPUT  
10mV/dB  
Figure 40. 120 dB Measurem ent System  
Figure 40 shows how these two parts can work together to pro-  
vide state-of-the-art IF measurements in applications such as  
spectrum/ network analyzers and other high dynamic range  
instrumentation. T o understand the operation, note first that  
the AD8307 is used to generate an output of about 0.3 V to  
2.3 V. T his 2 V span is divided by 2 in R5/R6/R7 to provide the  
1 V span needed by the AD603 to vary its gain by 40 dB. Note  
that an increase in the positive voltage applied at GNEG (Pin 2)  
lowers the gain. T his feedback network is tapped to provide a  
convenient 10 mV/dB scaling at the output node, which may be  
buffered if necessary.  
TO  
ANTENNA  
100k⍀  
0.1F  
V
1/2W  
P
22⍀  
+5V  
51pF  
NC  
LEAD-  
THROUGH  
CAPACITORS,  
1nF  
VR1  
2k⍀  
INT ؎3dB  
INP VPS ENB INT  
AD8307  
INM COM OFS OUT  
50INPUT  
FROM P.A.  
1W TO  
1kW  
604⍀  
2k⍀  
NC  
V
OUT  
The center of the voltage range fed back to the AD603 is 650 mV  
and the ±20 dB gain range is centered by R1/R2. Note that the  
intercept calibration of this system benefits from the use of a  
well regulated 5 V supply. T o absorb the insertion loss of the  
filter and center the full dynamic range, the intercept is adjusted  
by varying the maximum gain of the AD603, using VR1.  
Figure 41 shows the AD8307 output over the range –120 dBm  
to +20 dBm and the deviation from an ideal logarithmic re-  
sponse. T he dotted line shows the increase in the noise floor  
that results when the filter is omitted; the decibel difference is  
about 10log10(50/0.2) or 24 dB, assuming a 50 MHz band-  
width from the AD603. An L-C filter may be used in place of  
the ceramic filter used in this example.  
OUTPUT  
51pF  
1nF  
NC = NO CONNECT  
Figure 39. 1 µW to 1 kW 50-Power Meter  
Measur em ent System with 120 dB D ynam ic Range  
T he dynamic range of the AD8307 can be extended further—  
from 90 dB to over 120 dB—by the addition of an X-AMP™  
such as the AD603. T his type of variable gain amplifier exhibits  
a very exact exponential gain control characteristic, which is  
another way of stating that the gain varies by a constant number  
of decibels for a given change in the control voltage. For the  
AD603, this scaling factor is 40 dB/V, or 25 mV/dB. It will be  
apparent that this property of a linear-in-dB response is charac-  
teristic of log amps; indeed, the AD8307 exhibits the same  
scaling factor.  
X-AMP is a trademark of Analog Devices, Inc.  
REV. A  
–16–  
AD8307  
2.50  
2.25  
2.00  
1.75  
1.50  
is 125 ms. (See also Figure 38 for a more elaborate filter). Finally,  
to improve the law-conformance at very low signal levels and at  
low frequencies, C4 has been added to the offset compensation  
loop.  
WITHOUT  
FILTER  
2
+5V  
1
4.7⍀  
0.1F  
0
1.25  
1.00  
C1  
10F  
R1  
5k⍀  
–1  
–2  
ERROR  
(WITH FILTER)  
V
NC  
IN  
0.75  
0.50  
FOR SLOPE AND  
INTERCEPT ADJUSTMENTS  
SEE FIGURE 35  
0.5mV  
TO 20V  
SINE  
INP VPS ENB INT  
AD8307  
C3  
750pF  
WITH FILTER  
AMPLITUDE  
INM COM OFS OUT  
0.25  
0
V
OUT  
–20  
INPUT LEVEL – dBm  
0
20  
–100  
–80  
–60  
–40  
25mV/dB  
R2  
5k⍀  
C2  
10F  
C4  
C5  
1F  
1F  
NC = NO CONNECT  
Figure 41. Results for 120 dB Measurem ent System  
Figure 42. Connections for Low Frequency Operation  
O per ation at Low Fr equencies  
T he AD8307 provides excellent logarithmic conformance at  
signal frequencies that may be arbitrarily low, depending only  
on the values used for the input coupling capacitors. It may also  
be desirable to add a low-pass input filter in order to desensitize  
the log amp to HF signals. Figure 42 shows a simple arrange-  
ment, providing coupling with an attenuation of 20 dB; the  
intercept is shifted up by this attenuation, from –84 dBm to  
–64 dBm, and the input range is now 0.5 mV to 20 V (sine  
amplitude).  
D C-Coupled Applications  
It may occasionally be necessary to provide response to dc in-  
puts. Since the AD8307 is internally dc-coupled, there is no  
fundamental reason why this is precluded. However, there is a  
practical constraint, which is that its inputs must be positioned  
about 2 V above the COM potential for proper biasing of the  
first stage. If it happens that the source is a differential signal at  
this level, it may be directly connected to the input. For ex-  
ample, a microwave detector can be ac-coupled at its RF input  
and its baseband load then automatically provided by the “float-  
ing” RIN and CIN of the AD8307, at about VP/2.  
A high pass 3 dB corner frequency of nominally 3 Hz is set by  
the 10 µF coupling capacitors C1 and C2, which are preferably  
tantalum electrolytics (note the polarity) and a low pass 3 dB  
corner frequency of 200 kHz (set by C3 and the effective resis-  
tance at the input of 1 k). T he –1% amplitude error points  
occur at 20 Hz and 30 kHz. T hese are readily altered to suit  
other applications by simple scaling. When C3 is zero, the low  
pass corner is at 200 MHz. Note that the lower end of the dy-  
namic range is improved by this capacitor, which provides es-  
sentially an HF short circuit at the input, thus significantly  
lowering the wideband noise; the noise reduction is about 2 dB  
compared to the case when the AD8307 is driven from a 50 Ω  
source.  
Usually, the source will be a single-sided ground-referenced  
signal, and it will thus be necessary to provide a negative supply  
for the AD8307. T his can be achieved as shown in Figure 43.  
T he output is now referenced to this negative supply, and it is  
necessary to provide an output interface that performs a differ-  
ential-to-single-sided conversion. T his is the purpose of the  
AD830. T he slope may be arranged to be 20 mV/dB, when the  
output ideally runs from zero, for a dc input of 10 µV, to +2.2 V  
for an input of 4 V. T he AD8307 is fundamentally insensitive to  
the sign of the input signal, but with this biasing scheme, the  
maximum negative input is constrained to about –1.5 V. T he  
transfer function after trimming and with R7 = 0, is  
T o ensure that the output is free of post-demodulation ripple, it  
is necessary to lower the low-pass filter time-constant. T his is  
provided by C5; with the value shown, the output time-constant  
VOUT = (0.4 V) log10 (VIN /10 µV)  
R1  
4.7⍀  
+5V FOR 20mV/dB  
+10V FOR 50mV/dB  
+5V  
+15V FOR 100mV/dB  
C1  
0.1F  
VR2  
50k⍀  
V
OUT  
–5V  
R2  
3.3k⍀  
R5  
*
VP  
NC VN  
INT  
INP VPS ENB INT  
V
IN  
AD830  
AD8307  
INM COM OFS OUT  
C2  
1F  
R7  
* 51kFOR  
20mV/dB  
5k FOR  
X1 X2 Y1 Y2  
TEMP  
R7,R8:  
SEE TEXT  
100mV/dB  
20mV/dB  
R6  
32.4k⍀  
AD589  
VR1  
2k⍀  
C3  
0.1F  
R8  
Q1  
2N3904  
R9  
250⍀  
VR3  
50k⍀  
R3  
1k⍀  
–5V  
NC = NO CONNECT  
–2V  
Figure 43. Connections for DC-Coupled Applications  
REV. A  
–17–  
AD8307  
T he intercept can be raised, for example, to 100 µV, with the  
rationale that the dc precision does not warrant operation in the  
first decade (from 10 µV–100 µV). Likewise, the slope can be  
raised to 50 mV/dB, using R7 = 3 k, R8 = 2 k, or to 100 mV/  
dB, to simplify decibel measurements on a DVM, using R7 =  
8 k, R8 = 2 k, which raises the maximum output to +11 V,  
thus requiring a +15 V supply for the AD830. T he output may  
be made to swing in a negative direction by simply reversing  
Pins 1 and 2. Low-pass filtering capacitor C3 sets the output  
rise time to about 1 ms.  
requires adjusting the output to 0.68 V; for the 100 mV/dB  
scaling, this becomes 3.4 V. If a 100 µV intercept is preferred  
(usefully lowering the maximum output voltage), these become  
0.28 V and 1.4 V respectively.  
Finally, the slope must be adjusted. T his can be performed by  
applying a low frequency square wave to the main input, having  
precisely determined upper and lower voltage levels, provided  
by a programmable waveform generator. A suitable choice is a  
100 Hz square wave with levels of 10 mV and 1 V. T he output  
will be a low-pass filtered square wave, and its amplitude should  
be 0.8 V, for 20 mV/dB scaling, or 4 V for 100 mV/dB scaling.  
6.0  
5.5  
5.0  
4.5  
O per ation Above 500 MH z  
T he AD8307 is not intended for use above 500 MHz. However,  
it does provide useful performance at higher frequencies.  
Figure 45 shows a plot of the logarithmic output of the AD8307  
for an input frequency of 900 MHz. T he device shows good  
logarithmic conformance from –50 dBm to –10 dBm. T here is a  
“bump” in the transfer function at –5 dBm, but if this is accept-  
able, the device is usable over a 60 dB dynamic range (–50 dBm  
to +10 dBm).  
1.0  
0.5  
0
4.0  
3.5  
3.0  
2.5  
–0.5  
–1.0  
2.0  
1.5  
1.0  
0.5  
0
2
1.8  
1.6  
1.4  
1.2  
1
1m  
10m  
100m  
1
10  
10␮  
100␮  
V
IN  
Figure 44. Ideal Output and Law-Conform ance Error for  
the DC-Coupled AD8307 at 50 m V/dB  
Figure 44 shows the output and the law-conformance error in  
the absence of noise and input offset, for the 50 mV/dB option.  
Note in passing that the error ripple for dc excitation is about  
twice that for the more usual sinusoidal excitation. In practice,  
both the noise and the internal offset voltage will degrade the  
accuracy in the first decade of the dynamic range. T he latter is  
now manually nulled, by VR1, using a simple method that en-  
sures very low residual offsets.  
0.8  
0.6  
0.4  
0.2  
0
–60  
–50  
–40  
–30  
P
–20  
– dBm  
–10  
0
10  
IN  
Figure 45. Output vs. Input Level for a 900 MHz Input Signal  
A temporary ac signal, typically a sine wave of 100 mV in ampli-  
tude at a frequency of about 100 Hz, is applied via the capacitor  
at node TEMP; this has the effect of disturbing the offset-nulling  
voltage. T he output voltage is then viewed on an oscilloscope  
and VR1 is adjusted until the peaks of the (frequency-doubled)  
waveform are exactly equal in amplitude. T his procedure can  
provide an input null down to about 10 µV; the temperature  
drift is very low, though not specified since the AD8307 is not  
principally designed to operate as a baseband log amp, and in ac  
modes this offset is continuously and automatically nulled.  
Evaluation Boar d  
An evaluation board, carefully laid out and tested to demon-  
strate the specified high speed performance of the AD8307 is  
available. Figure 46 shows the schematic of the evaluation board.  
For ordering information, please refer to the Ordering Guide.  
Figures 47 and 49 show the component-side and solder-side  
silkscreens of the evaluation board. T he component-side and  
solder-side layouts are shown in Figures 48 and 50.  
For connection to external instruments, side-launched SMA  
type connectors are provided. Space is also provided on the  
board for the installation of SMB or SMC type connectors.  
When using the top-mount SMA connector, it is recommended  
that the stripline on the outside 1/8" of the board edge be re-  
moved (i.e., scraped using a blade) as this unused stripline acts  
as an open stub, which could degrade the overall performance of  
the evaluation board/device combination at high frequencies.  
Next, it is necessary to set the intercept. T his is the purpose of  
VR2, which should be adjusted after VR1. T he simplest method  
is to short the input and adjust VR2 for an output of 0.3 V,  
corresponding to the noise floor. For more exacting applica-  
tions, a temporary sinusoidal test voltage of 1 mV in amplitude,  
at about 1 MHz, should be applied, which may require the use  
of a temporary onboard input attenuator. For 20 mV/dB scaling,  
a 10 µV dc intercept (which is 6 dB below the ac intercept)  
REV. A  
–18–  
AD8307  
+V  
S
C4  
0.1F  
C3  
10F  
A
B
LK1  
R2  
50k⍀  
INPUT  
C2  
0.1F  
LK2  
INP VPS ENB INT  
R1  
52.3⍀  
AD8307  
INM COM OFS OUT  
C1  
0.1F  
LOG  
OUTPUT  
LK4  
LK3  
LK5  
R3  
C5  
12.5k⍀  
0.1F  
C6  
1nF  
Figure 49. Solder Side Silkscreen  
Figure 46. Evaluation Board Schem atic  
Figure 50. Board Layout (Solder Side)  
Link and Tr im O ptions  
Figure 47. Com ponent Side Silkscreen  
T here are a number of link options and trim potentiometers on  
the evaluation board which should be set for the required oper-  
ating setup before using the board. T he functions of these link  
options and trim potentiometers are described in detail in  
T able II.  
Figure 48. Board Layout (Com ponent Side)  
REV. A  
–19–  
AD8307  
Table II. Evaluation Board Link O ptions  
Function  
Link No.  
D efault P osition  
LK1  
A
Power Up/Power Down. When this link is in position B, the ENB pin is connected to ground,  
putting the AD8307 in power-down mode. Placing this link in position A connects the ENB  
pin to the positive supply, thereby putting the AD8307 in normal operating mode.  
LK2  
LK3  
LK4  
Open  
Open  
Open  
Intercept Adjust. When Pin LK2 is left open, the AD8307 has a nominal logarithmic  
intercept of –84 dBm. Putting LK2 in place connects the wiper of potentiometer R2 to Pin 5  
(INT). By varying the voltage on INT, the position of the intercept can be adjusted. The inter-  
cept varies by about 8 dB/V.  
Slope Adjust. When this link is open, the nominal slope of the output is 25 mV/dB. Putting this  
link in place connects a ground referenced 12.5 kload resistor (R3) to the logarithmic out-  
put. The parallel combination of this resistor and an internal 12.5 kresistor reduces the  
logarithmic slope to 12.5 mV/dB. R3 may be adjusted for other scaling factors.  
Corner Frequency of Low-Pass Demodulating Filter. When this link is open, the corner fre-  
quency of the low pass post demodulation filter has a nominal value of 4 MHz. This is set by  
an on-chip load impedance of 12.5 kand an on-chip load capacitance of 3.5 pF. The load  
capacitance (e.g., of an oscilloscope probe) must be added to this capacitance, and will lower  
the internal video bandwidth, to a nominal 1 MHz for a total of 13.5 pF. Putting LK4 in place  
connects an external load capacitance (C5) of 0.1 µF to the output, reducing the corner fre-  
quency of the low-pass filter to about 125 Hz. For large values of C5, the corner frequency can  
be calculated using the equation, f 12.7 Hz/C5 (µF).  
LK5  
Open  
Offset Control Loop. When this link is open, the internal offset control loop gives the circuit an  
overall high pass corner frequency of about 1 MHz. With LK5 link in place, a 1 nF capacitor  
(C6) is connected to the OFS pin, reducing the high pass corner frequency to allow accurate  
operation down to 10 kHz. To reduce the minimum operational frequency even further, a  
larger capacitor can replace C6 (e.g., a 1 µF capacitor allows operation down to 10 Hz). Note  
that that external capacitor C6 has no effect on the minimum signal frequency for input levels  
that exceed the offset voltage (typically 400 µV). The range for such signals extends down to dc  
(for signals applied directly to the input pins).  
O UTLINE D IMENSIO NS  
D imensions shown in inches and (mm).  
8-Lead P lastic D IP  
(N-8)  
8-Lead SO IC  
(SO -8)  
0.430 (10.92)  
0.348 (8.84)  
0.1968 (5.00)  
0.1890 (4.80)  
8
5
8
1
5
4
0.280 (7.11)  
0.240 (6.10)  
0.1574 (4.00)  
0.1497 (3.80)  
0.2440 (6.20)  
0.2284 (5.80)  
1
4
0.325 (8.25)  
0.300 (7.62)  
0.060 (1.52)  
0.015 (0.38)  
PIN 1  
PIN 1  
0.0688 (1.75)  
0.0532 (1.35)  
0.0196 (0.50)  
0.0099 (0.25)  
0.195 (4.95)  
0.115 (2.93)  
؋
 45؇  
0.210 (5.33)  
MAX  
0.0098 (0.25)  
0.0040 (0.10)  
0.130  
(3.30)  
MIN  
0.160 (4.06)  
0.115 (2.93)  
0.015 (0.381)  
0.008 (0.204)  
8؇  
0؇  
SEATING  
PLANE  
0.0500  
(1.27)  
BSC  
0.100  
(2.54)  
BSC  
0.0192 (0.49)  
0.0138 (0.35)  
0.022 (0.558)  
0.014 (0.356)  
0.070 (1.77)  
0.045 (1.15)  
SEATING  
PLANE  
0.0098 (0.25)  
0.0075 (0.19)  
0.0500 (1.27)  
0.0160 (0.41)  
–20–  
REV. A  

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